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Finding the Fourth Proportional to 26,105.93, 39,125.37 and 11,864

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Solution

The fourth proportional to 26,105.93, 39,125.37 and 11,864 is: 17,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,105.93 : 39,125.37 = 11,864 : x
  2. Step 2: Convert to fraction form
    26,105.93/39,125.37 = 11,864/x
  3. Step 3: Cross multiply
    26,105.93x = 39,125.37 × 11,864
  4. Step 4: Simplify right side
    26,105.93x = 464,183,389.68
  5. Step 5: Solve for x
    x = 464,183,389.68/26,105.93
  6. Step 6: Final answer
    x = 17,780.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.